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Cartan Prolongation of a Family of Curves Acquiring a Node

2017/10/31 by Susan Jane Colley, Gary J. Kennedy, Gary Kennedy
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Algebra over a field #Combinatorics #Internal medicine #Mathematics #Medicine #Node (physics) #Nonlinear Waves and Solitons #Physics #Prolongation #Pure mathematics #Quantum mechanics #math.DG #msc:14D06 #msc:14H99 #msc:53A55 #msc:58A30 #msc:58K50

paper · pdf · doi:10.3842/sigma.2018.031

published as SIGMA 14 (2018), 031, 16 pages

arxiv created 2018/04/07 · openalex publication_date 2018/04/07 · arxiv updated 2018/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using the monster/Semple tower construction, we study the structure of the Cartan prolongation of the family x 1 x 2 = t of plane curves with nodal central member.

Citations